A seesaw‐like mechanism for the neutrino in the presence of a minimal length space–time. Issue 1 (10th January 2023)

• Record Type: Journal Article
• Authors: Ferreira, Thiago Oliveira; Vasconcellos, César A. Z.; Hadjimichef, Dimiter
• Other Names: Zen Vasconcellos C.A. guestEditor.; Sacahui Reyes J.R. guestEditor.; Hess P.O. guestEditor.; Piccinelli G. guestEditor.; Vargas Magana M. guestEditor.; Gonzalez Felipe R. guestEditor.; Boller Th. guestEditor.; Gullberg S. guestEditor.; Hadjimichef D. guestEditor.
• Is Part Of: Astronomische Nachrichten. Volume 344:Issue 1/2(2023)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2023-01-10
• Subjects: minimal length -- neutrinos -- noncommutative quantum mechanics -- seesaw mechanism; Astronomy -- Periodicals; 520.5
• DOI: 10.1002/asna.20220127
• Languages: English
• ISSNs: 0004-6337

Abstract

Abstract: In the Standard Model, neutrinos appear as left‐handed massless particles, although experimentally they have a tiny, but non‐vanishing, mass. Inspired by quantum gravity, Moayedi, Setare, Moayeri & Poorakbar (2011) used a Lorentz‐covariant algebra for a quantized space–time to derive a modified Dirac equation due to the presence of a minimal length. In this paper, we study this equation in the massless limit in order to describe neutrino states. We show that the minimal length creates a seesaw‐like mechanism that allows us to describe the observed left‐handed neutrinos with vanishing masses while the unobserved right‐handed neutrinos get extremely heavy.